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Simplifying 0.1(x + 50) + 1.3x = 54 Reorder the terms: 0.1(50 + x) + 1.3x = 54 (50 * 0.1 + x * 0.1) + 1.3x = 54 (5 + 0.1x) + 1.3x = 54 Combine like terms: 0.1x + 1.3x = 1.4x 5 + 1.4x = 54 Solving 5 + 1.4x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1.4x = 54 + -5 Combine like terms: 5 + -5 = 0 0 + 1.4x = 54 + -5 1.4x = 54 + -5 Combine like terms: 54 + -5 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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